A game where you survive?

Hi so i was wondering if there was a game where you get left in the middle of nowhere or something? Sort of like minecraft or starbound or something like that i don't really care about price free or not.

I mainly like surviving, taking shelter from things like wild animals or zombies and all that kind of stuff also building, hunting, cooking and maybe multiplayer if anyone knows of such a game please tell me know!

Added (1). Oh and maybe a little story but mainly free rome and sandbox

Last of us - zombies
Far cry 3 - pirates and wild animals

Don't Starve

Rust and day z are multiplayer and awesome
and terraria is actually really good better then mine craft in my opinion

Outlast, you go to a mansion where you get trapped and you have to escape, the thing is that its only you and your camcorder.

Dead island

It is free for xbox360 gold members

Rust ( steam )
don't starve ( steam )
terraria ( steam )
garry's mod ( steam )
day z ( steam )